The formula for calculating the Spearman rank correlation coefficient:

  1. Spearman’s rank correlation coefficient (ρ):
    [
    \rho = 1 – \frac{6 \sum d_i^2}{n(n^2 – 1)}
    ]
    where:
  • (d_i) is the difference between the ranks for each pair of observations,
  • (n) — number of observations.
  1. Steps for calculation:

Substitute the values ​​into the formula.

Assign ranks to each value in the two data sets.

Calculate the rank difference (d_i) for each pair.

Square each difference (d_i^2).

Find the sum of the squares of the differences (\sum d_i^2).

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